What is the equation of a vertical line?

When the two points are on a vertical line, the slope is undefined and the equation of the line is of the form x = constant.

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Linear equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.

Linear equations can have one or more variables. Linear equations occur with great regularity in most subareas of mathematics and especially in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state. Linear equations do not include exponents.

Analytic geometry

Analytic geometry, or analytical geometry, has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning.

In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry.

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From Nantes to Lac-Mégantic, the tracks are on a grade of 1.2 per cent – meaning that for every 100 metres of distance, the vertical drop is 1.2 metres ... An air-brake line is charged at 90 pounds per square inch, and when an engineer reduces the ...

“Differential calculus” is a big phrase but a very useful part of ... Neither is a function that would graph a vertical line; that slope would be infinite because any change is the ‘y’ direction is divided by the zero change in the ‘x’ direction.

It’s not that it’s wrong. It is perfectly true that straight lines, and only straight lines, can be expressed with equations of that form. But defining a straight line in terms of the form of its equation is like defining an even number as one whose ...

In this model of a mathematical surface, every aspect of every swoop, dip and pinch is encoded in a single equation. That equation has a singularity where the plaster would be drawn infinitely thinly. In a concession to physics, the final gap is bridged by ...

Problems involve lines with positive slopes, negative slopes, slopes that must be reduced, slopes of 0 (horizontal lines), and "no slopes"(vertical lines ... that is introduced in the study of linear equations.